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Finding the Third Proportional to 81,053,031.38 and 174,415,906.13

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Solution

The third proportional to 81,053,031.38 and 174,415,906.13 is: 375,321,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,053,031.38 : 174,415,906.13 = 174,415,906.13 : x
  2. Step 2: Convert to fraction form
    81,053,031.38/174,415,906.13 = 174,415,906.13/x
  3. Step 3: Cross multiply
    81,053,031.38x = 174,415,906.13 × 174,415,906.13
  4. Step 4: Simplify right side
    81,053,031.38x = 30,420,908,309,404,812
  5. Step 5: Solve for x
    x = 30,420,908,309,404,812/81,053,031.38
  6. Step 6: Final answer
    x = 375,321,043.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.